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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 77658f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.b1 | 77658f1 | \([1, 1, 0, -7434, -188706]\) | \(7189057/1806\) | \(11416381666494\) | \([]\) | \(206976\) | \(1.2155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 77658f do not have complex multiplication.Modular form 77658.2.a.f
sage: E.q_eigenform(10)